A note on rationally slice knots
Publication
, Journal Article
Levine, AS
Published in: New York Journal of Mathematics
January 1, 2023
Kawauchi proved that every strongly negative amphichiral knot (Formula Presented) bounds a smoothly embedded disk in some rational homology ball VK, whose construction a priori depends on K. We show that VK is inde-pendent of K up to diffeomorphism. Thus, a single 4-manifold, along with connected sums thereof, accounts for all known examples of knots that are rationally slice but not slice.
Duke Scholars
Published In
New York Journal of Mathematics
EISSN
1076-9803
Publication Date
January 1, 2023
Volume
29
Start / End Page
1363 / 1372
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Levine, A. S. (2023). A note on rationally slice knots. New York Journal of Mathematics, 29, 1363–1372.
Levine, A. S. “A note on rationally slice knots.” New York Journal of Mathematics 29 (January 1, 2023): 1363–72.
Levine AS. A note on rationally slice knots. New York Journal of Mathematics. 2023 Jan 1;29:1363–72.
Levine, A. S. “A note on rationally slice knots.” New York Journal of Mathematics, vol. 29, Jan. 2023, pp. 1363–72.
Levine AS. A note on rationally slice knots. New York Journal of Mathematics. 2023 Jan 1;29:1363–1372.
Published In
New York Journal of Mathematics
EISSN
1076-9803
Publication Date
January 1, 2023
Volume
29
Start / End Page
1363 / 1372
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics